Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
Answer:
all bottoms a 3 and sides are 5
Step-by-step explanation:
Answer:
m=y2-y1/x2-x1 ⇒ m=-48+64/-15+21
m=16/6=8/3
y-y1/x-x1= m⇒ 8/3=y+64/x+21
8x+168=3y+192
3y=8x-24
x-intercept
3(0)=8x-24
x=24/8 →x=3
<u>x-intercept: (3,0)</u>
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